KVPY Sample Paper KVPY Stream-SX Model Paper-4

  • question_answer
    The number of non-negative integral solution of the equation, \[x+y+3z=33\] is -

    A) 120                              

    B) 135  

    C) 210                  

    D) 520

    Correct Answer: C

    Solution :

    [C] Consider cases when z=0, 1, 2,??, 11 \[\Rightarrow 34+31+28+.....+1\,\,(12\,\,times)\] \[=\frac{12}{3}(1+34)=210\]    

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